288916 has 6 divisors (see below), whose sum is σ = 505610. Its totient is φ = 144456.

The previous prime is 288913. The next prime is 288929. The reversal of 288916 is 619882.

288916 = 98² + 99² + ... + 121².

It can be written as a sum of positive squares in only one way, i.e., 198916 + 90000 = 446^2 + 300^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36111 + ... + 36118.

2²⁸⁸⁹¹⁶ is an apocalyptic number.

It is an amenable number.

288916 is a deficient number, since it is larger than the sum of its proper divisors (216694).

288916 is a wasteful number, since it uses less digits than its factorization.

288916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72233 (or 72231 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 288916 is about 537.5090696909. The cubic root of 288916 is about 66.1084839690.

Subtracting from 288916 its sum of digits (34), we obtain a palindrome (288882).

The spelling of 288916 in words is "two hundred eighty-eight thousand, nine hundred sixteen".